It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 637 684 is not a prime number.
For example, 637 684 can be divided by 2: 637 684 / 2 = 318 842.
For 637 684 to be a prime number, it would have been required that 637 684 has only two divisors, i.e., itself and 1.
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637 684 is an even number, because it is evenly divisible by 2: 637 684 / 2 = 318 842.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 637 684 is about 798.551.
Thus, the square root of 637 684 is not an integer, and therefore 637 684 is not a square number.
The square of a number (here 637 684) is the result of the product of this number (637 684) by itself (i.e., 637 684 × 637 684); the square of 637 684 is sometimes called "raising 637 684 to the power 2", or "637 684 squared".
The square of 637 684 is 406 640 883 856 because 637 684 × 637 684 = 637 6842 = 406 640 883 856.
As a consequence, 637 684 is the square root of 406 640 883 856.
The multiples of 637 684 are all integers evenly divisible by 637 684, that is all numbers such that the remainder of the division by 637 684 is zero. There are infinitely many multiples of 637 684. The smallest multiples of 637 684 are: